New Members in the $0^+$ ($0^{++})$ Family

Details New Members in the $0^+$ ($0^{++})$ Family New Members in the $0^+$ ($0^{++})$ Family

2006-02-09

arxiv.org/abs/hep-ph/0602075v3

Phys.Rev.D73:051502,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 1 figure, 3 tables. More reference added and text re-arranged

Scientific paper

10.1103/PhysRevD.73.051502

Recent BES data on $J/\psi \to \phi \pi\pi$ indicate that there is a possible new spin-0 state ($f_0(1790)$) with a mass of $m=1790^{+40}_{-30} \mathrm{MeV}/\mathrm{c}^2$. Assuming it to be an iso-singlet $0^+(0^{++})$, we propose a new mixing scheme to describe this and the other three known iso-singlet $f_0(1370)$, $f_0(1500)$, $f_0(1710)$ states by adding iso-singlet hybrid states to the usual basis of two iso-singlet quarkonia and one glueball. Since there are two iso-singlet hybrid states, $(u\bar u+d\bar d)g/\sqrt 2$ and $s\bar sg$, this new basis implies existence of another iso-singlet state $X$. Using known data, we estimate the ranges of the mixing parameters. We find two sets of solutions with X mass predicted to be about 1820 MeV and 1760 MeV, respectively. We also study implications on the decay properties of these new states.

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